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Simplifying 3m + -7 = 4m + 2 Reorder the terms: -7 + 3m = 4m + 2 Reorder the terms: -7 + 3m = 2 + 4m Solving -7 + 3m = 2 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -7 + 3m + -4m = 2 + 4m + -4m Combine like terms: 3m + -4m = -1m -7 + -1m = 2 + 4m + -4m Combine like terms: 4m + -4m = 0 -7 + -1m = 2 + 0 -7 + -1m = 2 Add '7' to each side of the equation. -7 + 7 + -1m = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -1m = 2 + 7 -1m = 2 + 7 Combine like terms: 2 + 7 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9
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